| Functional Variable Separation for Extended （l＋2）-Dimensional Nonlinear Wave Equations |
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| 作者姓名： | 张顺利 楼森岳 屈长征 |
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| 作者单位： | [1]Center of Nonlinear Science, Ningbo University, Ningbo 315211 [2]Department of Mathematics, Northwest University, Xi＇an 710069 [3]Institute of Modern Physics, Northwest University, Xi ＇ an 710069 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10371098, 10447007 and 10475055, the Special Research Project of Educational Department of Shaanxi Province （No 03JK060）. |
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| 摘 要： | The functional variable separation approach is applied to study extended （1＋2）-dimensional nonlinear wave equations. Complete classification for those equations admitting the functional separable solutions and some exact separable solutions are obtained.
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| 关 键 词： | 非线性波方程 变量分离 精确解 李对称群 Stackel矩阵 |
| 收稿时间： | 2005-08-02 |
| 修稿时间： | 2005-08-02 |
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